#include <bits/stdc++.h>
using namespace std;
#define ll long long
const int K=6,N=3e5+2;
int code[N];
int dp[K][N][32];
int main()
{
ios::sync_with_stdio(0);
cout.tie(0);cin.tie(0);
int n,m,k;
cin>>n>>m>>k;
for(int i=1;i<=n;i++)
{
int c;
cin>>c;
c--;
code[i]=(1<<c);
// one vertex length path ending at i
dp[1][i][code[i]]=1;
}
vector<pair<int,int>> edg;
for(int i=0;i<m;i++)
{
int x,y;
cin>>x>>y;
edg.push_back({x,y});
}
ll ans=0;
for(int i=2;i<=k;i++)
{
for(auto yp:edg)
{
int x=yp.first,y=yp.second;
for(int m=0;m<32;m++)
{
if((m&code[x])==0)
dp[i][x][m|code[x]]+=dp[i-1][y][m];
if((m&code[y])==0)
dp[i][y][m|code[y]]+=dp[i-1][x][m];
}
}
for(int v=1;v<=n;v++)
{
for(int x=0;x<32;x++)
{
ans+=dp[i][v][x];
}
}
}
cout<<ans<<endl;
return 0;
}
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